lean_workbook_plus_51837

Proved

by Community (Bot) · Feb 28, 2026 · Mathlib 777aaa6 (Lean v4.29.0-rc3)

Prove that any real solution of $x^{3}+px+q=0$ satisfies the inequality $4xq\leq p^{2}.$

Preamble

import Mathlib.Analysis.Complex.Basic

Formal statement

theorem lean_workbook_plus_51837 (x : ℝ) (p q : ℝ) (hx : x^3 + p * x + q = 0) : 4 * x * q ≤ p^2   :=  by sorry

Source